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    Identification of a Nonproportional Damping Matrix from Incomplete Modal Information

    Source: Journal of Vibration and Acoustics:;1991:;volume( 113 ):;issue: 002::page 219
    Author:
    C. Minas
    ,
    D. J. Inman
    DOI: 10.1115/1.2930172
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In modeling structures the damping matrix is the most difficult to represent. This is even more difficult in complicated structures that are not lightly damped. The work presented here provides a method of modeling the damping matrix of a structure from incomplete experimental data combined with a reasonable representation of the mass and stiffness matrices developed by finite element methods and reduced by standard model reduction techniques. The proposed technique uses the reduced mass and stiffness matrices and the experimentally obtained eigenvalues and eigenvectors in a weighted least squares or a pseudo-inverse scheme (depending on the number of the equations that are available) to solve for the damping matrix. The results are illustrated through several examples. As an indication of the accuracy of the method, fictitious examples where the damping matrix is originally known are considered. The proposed method identifies the exact viscous or hysteretic damping matrix by only using a partial set, half of the system’s eigenvalues and eigenvectors. The damping matrix is assumed to be real, symmetric, and positive semidefinite.
    keyword(s): Damping , Eigenvalues , Modeling , Stiffness , Finite element methods AND Equations ,
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      Identification of a Nonproportional Damping Matrix from Incomplete Modal Information

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    http://yetl.yabesh.ir/yetl1/handle/yetl/109517
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    contributor authorC. Minas
    contributor authorD. J. Inman
    date accessioned2017-05-08T23:37:12Z
    date available2017-05-08T23:37:12Z
    date copyrightApril, 1991
    date issued1991
    identifier issn1048-9002
    identifier otherJVACEK-28797#219_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/109517
    description abstractIn modeling structures the damping matrix is the most difficult to represent. This is even more difficult in complicated structures that are not lightly damped. The work presented here provides a method of modeling the damping matrix of a structure from incomplete experimental data combined with a reasonable representation of the mass and stiffness matrices developed by finite element methods and reduced by standard model reduction techniques. The proposed technique uses the reduced mass and stiffness matrices and the experimentally obtained eigenvalues and eigenvectors in a weighted least squares or a pseudo-inverse scheme (depending on the number of the equations that are available) to solve for the damping matrix. The results are illustrated through several examples. As an indication of the accuracy of the method, fictitious examples where the damping matrix is originally known are considered. The proposed method identifies the exact viscous or hysteretic damping matrix by only using a partial set, half of the system’s eigenvalues and eigenvectors. The damping matrix is assumed to be real, symmetric, and positive semidefinite.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleIdentification of a Nonproportional Damping Matrix from Incomplete Modal Information
    typeJournal Paper
    journal volume113
    journal issue2
    journal titleJournal of Vibration and Acoustics
    identifier doi10.1115/1.2930172
    journal fristpage219
    journal lastpage224
    identifier eissn1528-8927
    keywordsDamping
    keywordsEigenvalues
    keywordsModeling
    keywordsStiffness
    keywordsFinite element methods AND Equations
    treeJournal of Vibration and Acoustics:;1991:;volume( 113 ):;issue: 002
    contenttypeFulltext
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